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Finding the Fourth Proportional to 2,784.08, 3,832.20 and 1,996.88

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Solution

The fourth proportional to 2,784.08, 3,832.20 and 1,996.88 is: 2,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.08 : 3,832.20 = 1,996.88 : x
  2. Step 2: Convert to fraction form
    2,784.08/3,832.20 = 1,996.88/x
  3. Step 3: Cross multiply
    2,784.08x = 3,832.20 × 1,996.88
  4. Step 4: Simplify right side
    2,784.08x = 7,652,443.54
  5. Step 5: Solve for x
    x = 7,652,443.54/2,784.08
  6. Step 6: Final answer
    x = 2,748.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.